If x→alimxx−aaax−xa=−1 and a>0, then find the value of a.

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If _{{{x}{a}}}{{{a}^{{x}}-{x}^{{a}}}}{{{x}^{{x}}-{a}^{{a}}}}=-

Question

If $x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1$ and $a > 0,$ then find the value of a.

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Amelia Discussed

x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1

and

a > 0,

then find the value of a.

8 mins ago

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8 mins ago

Question Text

x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1

and

a > 0,

then find the value of a.